Q. 244.6( 19 Votes )

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:


Answer :

Given:


taking LCM m2x+ n2 = mn – 2mnx


On cross multiplying


m2x+ 2mnx + n2 – mn = 0


Comparing with standard quadratic equation ax2 + bx + c = 0


a = m2, b = 2mn, c = n2 – mn


Discriminant D = b2 – 4ac


= (2mn)2 – 4.m2. (n2 – mn)


= 4m2n2 – 4m2n2 + 4m3n > 0


Hence the roots of equation are real.



Roots α and β are given by





Hence the roots of equation are


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